Results 51 to 60 of about 90,721 (207)
Spectral Transformations and Associated Linear Functionals of the First Kind
Given a quasi-definite linear functional u in the linear space of polynomials with complex coefficients, let us consider the corresponding sequence of monic orthogonal polynomials (SMOP in short) (Pn)n≥0.
Juan Carlos García-Ardila+1 more
doaj +1 more source
On the limit of non-standard q-Racah polynomials
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality properties and the three-term recurrence relations remain ...
Gasper+13 more
core +1 more source
A Model for Sustainable Development in Territorial Production Systems
ABSTRACT The territorial production system demand innovation and adaptability to provide the majority of decisions, especially when splitting up available resources among productive sectors by the lens of sustainable development. The system's economic units evolve in dimensional profile, technical execution, and management of productive process to ...
Francesco Sica+2 more
wiley +1 more source
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj +1 more source
New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials [PDF]
We construct new examples of Krall discrete orthogonal polynomials, i.e., orthogonal polynomials with respect to a measure which are also eigenfunctions of a higher order difference operator. The new examples include the orthogonal polynomials with respect to the measures obtained from the Meixner measure $\rho_{a,c}$ and Hahn measure $\rho_{a,b,N}$ by
arxiv
NMR cryoporometry allows for the determination of nanopore diameters in wet polymer gels. Pore shrinkage upon thermal drying of the gels is precisely gauched and related to parameters used for the synthesis of polymer gel. The data show that sufficiently high monomer concentrations can completely mitigate pore size reduction upon drying.
Abdurrahman Bilican+2 more
wiley +1 more source
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors.
Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang
doaj +1 more source
We show that if v is a symmetric regular Laguerre-Hahn linear form (functional), then the linear form u defined by u=−λx−2v+δ0 is also regular and symmetric Laguerre-Hahn linear form for every complex λ except for a discrete set of numbers depending ...
M. Sghaier, J. Alaya
doaj +1 more source
Multivariate Hahn polynomials and difference equations [PDF]
The multivariate Hahn polynomials are constructed explicitly as the common eigenvectors of a family of second order difference operators. They are orthogonal with respect to the hypergeometric multinomial distribution. The main difference operator is adopted from the work of Karlin-McGregor in 1975.
arxiv
The effect of result‐based agri‐environmental payments on biodiversity: Evidence from Switzerland
Abstract We estimate the effects of result‐based agri‐environmental payments on biodiversity using a unique dataset containing information about plant vegetation. The data include information on surveyed plant species for a large number of randomly selected plots followed over a period of 20 years in Switzerland.
Sergei Schaub, Tobias Roth, Petyo Bonev
wiley +1 more source